In this article we emphasize the manner in which this statistical indicator the variation coefficient (v) could help the inference on measurable characteristics generated by technological processes. Our interest lies upon the so-called SPCStatistical Process Control; the main result obtained is the following: if the coefficient of variation is known, then the statistical distribution of capabil...

We present research in progress, aimed at explaining the tradeoffs between vegetative and reproductive structures in the architecture of Protea. The species of interest, Protea lepido-carpodendron, reproduces only after a fire that kills it. We aim at using a biomechanical developmental functionalstructural model to demonstrate that Protea lepidocarpodendron is adapted to the statistical distri...

Abstract. In this paper, a family of skew-slash distributions is defined and investigated. We define the new family by the scale mixture of a skew-elliptically distributed random variable with the power of a uniform random variable. This family of distributions contains slash-elliptical and skew-slash distributions. We obtain the moments and some distributional properties of the new family of d...

Bell’s theorem is a statement by which averages obtained from specific types of statistical distributions must conform to a family of inequalities. These models, in accordance with the EPR argument, provide for the simultaneous existence of quantum mechanically incompatible quantities. We first recall several contradictions arising between the assumption of a joint distribution for incompatible...

The Weibull distribution has been widely used in survival and engineering reliability analysis. In life testing experiments is fairly common practice to terminate the experiment before all the items have failed, that means the data are censored. Thus, the main objective of this paper is to estimate the reliability function of the Weibull distribution with uncensored and censored data by using B...

Cortical activity involves large populations of neurons, even when it is limited to functionally coherent areas. Electrophysiological recordings, on the other hand, involve comparatively small neural ensembles, even when modern-day techniques are used. Here we review results which have started to fill the gap between these two scales of inquiry, by shedding light on the statistical distribution...

Asymmetric volatility refers to the stylized fact that stock volatility is negatively correlated to stock returns. Traditionally, this phenomenon has been explained by the financial leverage effect. This explanation has recently been challenged in favor of a risk premium based explanation. We develop a new, unlevering approach to document how well financial leverage, rather than size, beta, boo...

This paper analyses the statistical distribution of war sizes. Using the method recently proposed by Clauset, Shalizi, and Newman (2009), we find moderate support for a Pareto-type distribution (power law), using data from different sources (COW and UCDP) and periods. A power law accurately describes not only the size distribution of all wars, but also the distribution of the sample of wars in ...

Pyrosequencing is emerging as one of the important next-generation sequencing technologies. We derive the statistical distributions of this technique in terms of nucleotide probabilities of the target sequences. We give exact distributions both for fixed number of flow cycles and for fixed sequence length. Explicit formulas are derived for the mean and variance of these distributions. In both c...